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Finding the Fourth Proportional to 415,732.32, 573,712.07 and 224,745.75

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Solution

The fourth proportional to 415,732.32, 573,712.07 and 224,745.75 is: 310,149.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,732.32 : 573,712.07 = 224,745.75 : x
  2. Step 2: Convert to fraction form
    415,732.32/573,712.07 = 224,745.75/x
  3. Step 3: Cross multiply
    415,732.32x = 573,712.07 × 224,745.75
  4. Step 4: Simplify right side
    415,732.32x = 128,939,349,456.20
  5. Step 5: Solve for x
    x = 128,939,349,456.20/415,732.32
  6. Step 6: Final answer
    x = 310,149.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.